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Finding the Fourth Proportional to 368.46, 508.50 and 221.16

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Solution

The fourth proportional to 368.46, 508.50 and 221.16 is: 305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.46 : 508.50 = 221.16 : x
  2. Step 2: Convert to fraction form
    368.46/508.50 = 221.16/x
  3. Step 3: Cross multiply
    368.46x = 508.50 × 221.16
  4. Step 4: Simplify right side
    368.46x = 112,459.86
  5. Step 5: Solve for x
    x = 112,459.86/368.46
  6. Step 6: Final answer
    x = 305.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.